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010   $a9783031942563
024 7 $a10.1007/978-3-031-94256-3
035   $a(CKB)39766941200041
035   $a(DE-He213)978-3-031-94256-3
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100   $a20250728d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBoundary Value Problems $eAdvanced Fractional Dynamic Equations on Time Scales /$fby Svetlin Georgiev
205   $a2nd ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (X, 184 p. 1 illus.) 
225 1 $aSynthesis Lectures on Mathematics & Statistics,$x1938-1751
311 08$a9783031942556 
327   $aElements of Time Scale Calculus and Fractional Time Scale Calculus -- Impulsive Riemann-Liouville Fractional Dynamic Equations -- Boundary Value Problems for Caputo Fractional Dynamic Equations -- Impulsive Caputo Fractional Dynamic Equations.
330   $aThis new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems. In addition, this book: Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales Demonstrates the concepts to readers using new and updated examples and practical problems.
410  0$aSynthesis Lectures on Mathematics & Statistics,$x1938-1751
606   $aMathematics
606   $aMathematical analysis
606   $aDifferential equations
606   $aDynamics
606   $aFunctions, Special
606   $aMathematics
606   $aAnalysis
606   $aDifferential Equations
606   $aDynamical Systems
606   $aSpecial Functions
606   $aApplications of Mathematics
615  0$aMathematics.
615  0$aMathematical analysis.
615  0$aDifferential equations.
615  0$aDynamics.
615  0$aFunctions, Special.
615 14$aMathematics.
615 24$aAnalysis.
615 24$aDifferential Equations.
615 24$aDynamical Systems.
615 24$aSpecial Functions.
615 24$aApplications of Mathematics.
676   $a510
700   $aGeorgiev$b Svetlin$4aut$4http://id.loc.gov/vocabulary/relators/aut$01218802
906   $aBOOK
912   $a9911018659503321
996   $aBoundary Value Problems$94414892
997   $aUNINA